Tag: Galois-Plane Models
Recent posts tagged Sagan Dodecahedron mention an association between that Platonic solid and the 5×5 grid. That grid, when extended by the six points on a "line at infinity,"…
(Five by Five continued) As the 3×3 grid underlies the order-3 finite projective plane, whose 13 points may be modeled by the 13 symmetry axes of the cube, so the 5×5…
Oslo artist Josefine Lyche has a new Instagram post, this time on pyramids (the monumental kind). My response — Wikipedia's definition of a tetrahedron as a "triangle-based pyramid" ……
The Regular Tetrahedron The seven symmetry axes of the regular tetrahedron are of two types: vertex-to-face and edge-to-edge. Take these axes as the "points" of a Fano plane….
Update of Nov. 30, 2014 — It turns out that the following construction appears on pages 16-17 of A Geometrical Picture Book , by Burkard Polster (Springer, 1998). "Experienced…
Update of Nov. 30, 2014 — For further information on the geometry in the remarks by Eberhart below, see pp. 16-17 of A Geometrical Picture Book , by Burkard Polster (Springer,…
For previous remarks on this topic, as it relates to symmetry axes of the cube, see previous posts tagged Interplay. The above posts discuss, among other things, the Galois projective…